Bayern Munich president Karl-Heinz Rummenigge has revealed his club received some “very high” offers for forward Thomas Muller in the summer.

The 25-year-old will stay at Allianz-Arena until at least the January transfer window after the club decided to keep him as they try to continue to dominate Bundesliga this season.

Manchester United were keen on bringing him to Old Trafford this season as manager Louis van Gaal tried to improve his squad. In the end the Red Devils settled for France youngster Anthony Martial from Monaco.

Spanish giants Real Madrid were also thought to be interested in Muller as they looked to give striker Karim Benzema some competition up top.

Reports in England suggest the Bavarians turned down a £60million offer for the Germany international, but Rummenigge has refused to give exact details on the figures.

Bayern’s decision to keep him has already been proved to be a good one, with Muller scoring five goals in the first three games of the season.

Speaking about the club’s offers, Rummenigge said: “I’m talking about figures which were very high indeed. If I were a bank manager then I would have had to accept it.

“But as a football club we allowed ourselves to close the door on it, and this door is remaining closed. I can promise that to everybody.

“But one thing is for certain, in view of the increased television money in England things are not going to get any easier for Bayern in future.”